A blog is that is all about mathematics and calculators, two of my passions in life.

Tuesday, August 28, 2012

Repeated Operations - Revisited

Repeated Operations with the TI nSpire

What happens when you repeat an operation or a function on a number? I am sure we have all entered a number on a standard calculator and pressed the square root function a number of times. Eventually, each non-zero number goes towards 1.

The following graphs show are functions that are repeated. The curve in blue represents the function, the "curve" (really a Scatterplot) in red demonstrates what happens to a certain interval when I repeat a function 10 times. I used a TI nSpire CX CAS for this. That Ans function (last answer) comes in handy!

Some graphs "stabilize" after 10 iterations, and the result becomes a constant for each point in the domain. I will point that out when applicable.

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Went to Cal Poly Pomona. Degrees: Accounting (Bachelor of Science), Mathematics (Masters of Science). My email is ews31415@gmail.com. I am also on Twitter: @edward_shore. I can also be found on Google+ under Edward Shore.